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Finding the Fourth Proportional to 5,807.13, 8,711.74 and 2,114.55

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Solution

The fourth proportional to 5,807.13, 8,711.74 and 2,114.55 is: 3,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.13 : 8,711.74 = 2,114.55 : x
  2. Step 2: Convert to fraction form
    5,807.13/8,711.74 = 2,114.55/x
  3. Step 3: Cross multiply
    5,807.13x = 8,711.74 × 2,114.55
  4. Step 4: Simplify right side
    5,807.13x = 18,421,409.82
  5. Step 5: Solve for x
    x = 18,421,409.82/5,807.13
  6. Step 6: Final answer
    x = 3,172.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.